Higher spin de Sitter Hilbert space
Abstract
We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are 2N bosonic fields living on the future conformal boundary, where N is proportional to the de Sitter horizon entropy. The vacuum state is normalizable. The model agrees in perturbation theory with expectations from a previously proposed dS-CFT description in terms of a fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope and in its computational power. In particular it resolves the apparent pathologies affecting the Sp(N) model, and it provides an exact formula for late time vacuum correlation functions. We illustrate this by computing probabilities for arbitrarily large field excursions, and by giving fully explicit examples of vacuum 3- and 4-point functions. We discuss bulk reconstruction and show the perturbative bulk QFT canonical commutations relations can be reproduced from the fundamental operator algebra, but only up to a minimal error term ~e-O(N), and only if the operators are coarse grained in such a way that the number of accessible “pixels” is less than O(N). Independent of this, we show that upon gauging the higher spin symmetry group,more »
- Authors:
-
- Univ. of Amsterdam (Netherlands)
- Columbia Univ., New York, NY (United States); Katholieke Univ. Leuven, Heverlee (Belgium)
- Alternative Energies and Atomic Energy Commission (CEA), Saclay (France)
- Columbia Univ., New York, NY (United States)
- Publication Date:
- Research Org.:
- Columbia Univ., New York, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1802295
- Grant/Contract Number:
- SC0011941
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; 1/N expansion; gauge-gravity correspondence; higher spin gravity; models of quantum gravity
Citation Formats
Anninos, Dionysios, Denef, Frederik, Monten, Ruben, and Sun, Zimo. Higher spin de Sitter Hilbert space. United States: N. p., 2019.
Web. doi:10.1007/jhep10(2019)071.
Anninos, Dionysios, Denef, Frederik, Monten, Ruben, & Sun, Zimo. Higher spin de Sitter Hilbert space. United States. https://doi.org/10.1007/jhep10(2019)071
Anninos, Dionysios, Denef, Frederik, Monten, Ruben, and Sun, Zimo. Mon .
"Higher spin de Sitter Hilbert space". United States. https://doi.org/10.1007/jhep10(2019)071. https://www.osti.gov/servlets/purl/1802295.
@article{osti_1802295,
title = {Higher spin de Sitter Hilbert space},
author = {Anninos, Dionysios and Denef, Frederik and Monten, Ruben and Sun, Zimo},
abstractNote = {We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are 2N bosonic fields living on the future conformal boundary, where N is proportional to the de Sitter horizon entropy. The vacuum state is normalizable. The model agrees in perturbation theory with expectations from a previously proposed dS-CFT description in terms of a fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope and in its computational power. In particular it resolves the apparent pathologies affecting the Sp(N) model, and it provides an exact formula for late time vacuum correlation functions. We illustrate this by computing probabilities for arbitrarily large field excursions, and by giving fully explicit examples of vacuum 3- and 4-point functions. We discuss bulk reconstruction and show the perturbative bulk QFT canonical commutations relations can be reproduced from the fundamental operator algebra, but only up to a minimal error term ~e-O(N), and only if the operators are coarse grained in such a way that the number of accessible “pixels” is less than O(N). Independent of this, we show that upon gauging the higher spin symmetry group, one is left with 2N physical degrees of freedom, and that all gauge invariant quantities can be computed by a 2N × 2N matrix model. This suggests a concrete realization of the idea of cosmological complementarity.},
doi = {10.1007/jhep10(2019)071},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {Mon Oct 07 00:00:00 EDT 2019},
month = {Mon Oct 07 00:00:00 EDT 2019}
}
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